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|a 10.1007/978-94-015-8555-2
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|a Automorphisms of Affine Spaces
|h [electronic resource] /
|c edited by Arno van den Essen.
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|a Proceedings of a Conference held in Curaçao (Netherlands Antilles), July 4--8, 1994, under auspices of the Caribbean Mathematical Foundation (CMF)
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| 250 |
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|a 1st ed. 1995.
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|a Dordrecht :
|b Springer Netherlands :
|b Imprint: Springer,
|c 1995.
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|a XX, 244 p.
|b online resource.
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|a I Polynomial Maps in Dimension n -- Seven Lectures on Polynomial Automorphisms -- The Jacobian Conjecture: Some Steps towards Solution -- Finite Automorphisms of Affine N-Space -- Polyomorphisms Conjugate to Dilations -- On Separable Algebras over a U.F.D. and the Jacobian Conjecture in Any Characteristic -- Global Injectivity of Polynomial Maps Via Vector Fields -- II Two-dimensional Results -- On the Markus-Yamabe Conjecture -- Derivations Generated by Polynomials, Their Images and Complements of the Images -- Normal Forms and the Jacobian Conjecture -- Radial Similarity of Newton Polygons -- An Algorithm that Determines whether a Polynomial Map is Bijective -- III Group Actions -- Algebraic Aspects of Additive Group Actions on Complex Affine Space -- Quotients of Algebraic Group Actions -- One-Parameter Subgroups and the Triangular Subgroup of the Affine Cremona Group -- A Note on Nagata’s Automorphism -- IV Reactions on the conference -- On a Question of Yosef Stein -- A Counterexample to a Conjecture of Meisters -- Open Problems -- Some Conference Impressions.
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| 520 |
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|a Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
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| 590 |
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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|a Algebraic geometry.
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| 650 |
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|a Commutative algebra.
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| 650 |
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|a Commutative rings.
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| 650 |
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|a Differential equations.
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| 650 |
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|a Algorithms.
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| 650 |
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0 |
|a Partial differential equations.
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| 690 |
|
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|a Electronic resources (E-books)
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| 700 |
1 |
|
|a van den Essen, Arno.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a SpringerLink (Online service)
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